Sums/Differences
Products/Quotients
Composition
Domain/Range
Miscallaneous
100
Given that f(x) = 2 and g(x) = 12x, determine is (f+g)(x).
What is 12x + 2
100
Given that f(x) = 12, and g(x) = 11, determine (f*g)(x).
What is 132
100
Given that f(x) = 2x and g(x) = x, determine g(f(x)).
What is 2x
100
Given f(x) = 2, and g(x) = 3, determine the domain of (f+g)(x).
What is x is an element of all the real numbers.
100
Mr. Krabbs is to Spongebob as Mr. Burns is to ______.
What is Homer Simpson
200
Given that h(x) = 2x, and k(x) = 10x, determine (k-h)(x)
What is 8x
200
Given that h(x) = 12x - 4, and k(x) = 2, determine (h/k)(x)
What is 6x - 2
200
Given that h(x) = 3x and k(x) = 2x, determine if h(k(x)) = k(h(x))
They are the same.
200
Given f(x) = 3x and g(x) = (1/3)x^2, what is the range of f(g(x)).
What is y>0
200
Dogs are to Fido as bananas are to ______.
What is No Frills.
300
Find (f+g)(0) given f(x) = x^2+3x-2 and g(x) = 2x-x^2
What is -2
300
Find (f*g)(3) given f(x) = (1/3)x +5 and g(x) =(15/x) +1
What is 36
300
Find f(g(3)) given that f(x) = {(0,1),(3,0), (2,5), (6,1), (2,13)}, and g(x) = {(1,3), (5,1), (3,6), (5,2), (0,8)}
What is 1
300
Given f(x) = 3x^2 and g(x) = 1/x, what is the domain of f(x)-g(x).
What is x cannot equal 0
300
I'm there once in a minute, twice in a moment but never in a thousand years.
What is the letter M?
400
Given h(x) = 133x and k(x) = 12x-x^3, find (h-k)(1)
What is 122
400
Find (f/g)(3) given f(x) = x^2+6x+9 and g(x) = x^2-6x+9
What is undefined
400
Find f(f(12)) given that f(x) = 144/x
What is 12
400
Come up with a conjecture that explains how to determine the domain and range for combination/composition of functions.
The domain and range are determined by the intercepts of the two original functions (ie: the intervals in which the two functions overlap).
400
I am the beginning of the end, the end of every place. I am the beginning of eternity, the end of time and space.
What is letter E?
500
Determine the profit function, given the cost function, c(x)=35x+1200 and revenue function, r(x)=65x.
What is P(x) = 30x-1200
500
Find a function to represent the number of cookies that each person receives if the number of cookies is represented by 2x^2-4x and the number of people is represented by x-2
What is 2x
500
Find a function to represent area of a square as a function of time, given that the side length doubles every minute (ie: s(t) = 2t).
What is 4t^2
500
Given f(x) = 2^x and g(x) = x + 1, what is the range of f(g(x)).
What is y>0
500
When you don’t have me, you want me, but when you do have me, you want to give me away.
What is a secret?